基于噪声圆形特性的宽带相干信号DOA估计方法

doi:10.12305/j.issn.1001-506X.2023.09.03

摘要/Abstract

摘要：

针对色噪声下基于差分去噪的宽带相干信号波达方向(direction of arrival, DOA)估计方法对相干信源数有限制的问题, 提出一种基于噪声圆形特性去噪和Toeplitz矩阵重构的估计算法。首先, 对接收到的信号求取协方差矩阵, 利用噪声的圆形特性消除噪声。为达到对协方差矩阵进行Toeplitz矩阵重构的要求, 通过协方差矩阵相乘来构造新的数据协方差矩阵。然后, 通过Toeplitz矩阵重构来解相干。最后, 利用旋转子空间算法准则构造聚焦矩阵, 使用传播算子算法实现DOA估计。理论分析及仿真实验验证了该算法的有效性, 该算法对相干信源数的奇偶没有限制, 同时该算法也适用于高斯白噪声下宽带相干信号DOA估计的场景。

关键词: 波达方向估计, 高斯色噪声, 宽带相干信号, Toeplitz矩阵重构, 传播算子算法

Abstract:

The direction of arrival (DOA) estimation method for wideband coherent signals based on differential technology eliminates noise components face the limitation of coherent sources number in the presence of color noise. To address this problem, an estimation algorithm based on noise circular characteristic denoising and Toeplitz matrix reconstruction is proposed. First, the covariance matrix of the received signal is calculated, in which the noise is eliminated by using the circular property of the noise. In order to meet the requirements of Toeplitz matrix reconstruction of covariance matrix, a new data covariance matrix is constructed by multiplying the covariance matrix. Then, the decoherence is carried out by the reconstruction of thes Toeplitz matrix. Finally, the focusing matrix is constructed by using the rotating signal subspace (RSS) algorithm criterion, and the propagator method (PM) algorithm is used to realize the DOA estimation. Theoretical analysis and simulation experiments show that the algorithm is effective and there is no restriction for the parity of coherent sources. The algorithm is also suitable for DOA estimation of wideband coherent signals under white Gaussian noise.

Key words: direction of arrival (DOA) estimate, Gaussian color noise, wideband coherent signal, Toeplitz matrix reconstruction, propagator method (PM) algorithm

中图分类号:

TN911.7

孙志国, 王杰, 孙溶辰, 白永珍, 李齐衡. 基于噪声圆形特性的宽带相干信号DOA估计方法[J]. 系统工程与电子技术, 2023, 45(9): 2667-2672.

Zhiguo SUN, Jie WANG, Rongchen SUN, Yongzhen BAI, Qiheng LI. DOA estimation method of broadband coherent signals based on circular characteristic of noise[J]. Systems Engineering and Electronics, 2023, 45(9): 2667-2672.

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